Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 606/64, 148/9633 quickly i.e. 44844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 606/64, 148/9633 is 44844.
LCM(606/64, 148/9633) = 44844
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 606/64,148/9633
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 606,148
Least Common Multiple of Numerators i.e. LCM of 606,148 is 44844.
GCF of Denominators means GCF of 64,9633 as per the given fractions.
GCF of 64,9633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 606,148
2 | 606, 148 |
303, 74 |
∴ So the LCM of the given numbers is 2 x 303 x 74 = 44844
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 606,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,148) x common factors =2 x 1 = 2
LCM(606,148) = ( 606 × 148 ) / 2
LCM(606,148) = 89688 / 2
LCM(606,148) = 44844
Lets's calculate GCF of 64,9633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44844/1
Therefore the LCM of Fractions 606/64,148/9633 is 44844
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 9633
List of positive integer factors of 9633 that divides 9633 without a remainder.
1,3,13,19,39,57,169,247,507,741,3211,9633
Greatest Common Factor
We found the factors 64,9633 . The biggest common factor number is the GCF number.
So the greatest common factor 64,9633 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 606/64, 148/9633?
Answer: LCM of Numerators as per given numbers 606/64, 148/9633 is
LCM of Numerators i.e. for 606,148 is 44844
GCF of denominators i.e. for 64,9633 is 1.
Thus, LCM of Fractions is 44844.Finally, LCM of Fractions for 606/64, 148/9633 is 44844.